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Mathematics for Electrical Engineering and Computing
book

Mathematics for Electrical Engineering and Computing

by Mary P Attenborough
June 2003
Intermediate to advanced
576 pages
18h 29m
English
Newnes
Content preview from Mathematics for Electrical Engineering and Computing
16

Fourier series

16.1 Introduction

Fourier analysis is the theory behind frequency analysis of signals. This chapter is concerned with the Fourier analysis of periodic, piecewise continuous functions. A periodic function can be represented by a Fourier series. A non-periodic function can be represented by its Fourier transform which we shall not be concerned with here. Discrete functions may be represented by a discrete Fourier transform, which also we shall not look at in this book.

Any periodic signal is made up of the sum of single frequency components. These components consist of a fundamental frequency component, multiples of the fundamental frequency, called the harmonics and a bias term, which represents the average off-set from zero. There ...

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Publisher Resources

ISBN: 9780750658553